The vedic math sutra used for simplifying equations is : "It is zero if the Samuccaya is Same"
This formula aims to simplify the solution of quadratic equations by setting some simple ground rules. But, before we understand the application of this vedic math sutra with quadratic equation, let us start with basic equations and understand the applicability of this vedic mathss sutra.
This formula aims to simplify the solution of quadratic equations by setting some simple ground rules. But, before we understand the application of this vedic math sutra with quadratic equation, let us start with basic equations and understand the applicability of this vedic mathss sutra.
This vedic math sutra (It is zero if the Samuccaya is same) has applicability in four different situations:
1. When a common term is there on all the terms of left hand side as well as right hand side of an equation, then that equation can be solved by assuming that common term to be zero.
Example:
11x + 5x = 6x + 7x
Since "x" occurs as a common factor in all the terms (of both LHS & RHS), therefore, x = 0 is a solution.
2. When multiplication of all the numbers appearing on each side of the equation is equal, the solution to that equation can be derived by assuming the unknown to be zero.
Example:
(x + 6) (x + 5) = (x + 3) (x + 10)
6 * 5 = 3 * 10 (multiplication of each side's numbers is equal = 30)
Solution is x = 0
3. The sum of the fractions with same numerical numerator can be derived by adding the denominators and equating it to zero.
Example:
3/ (4x − 1) + 3/ (6x − 1) = 0
In this case the numerator of both the fractions is the same number 3, therefore the addition can be re-written as:
10x-2 = 0 (LHS simplified by adding the denominators)
x = 1/5
4. For a quadratic equation expressed as N1/D1 = N2/D2 and if N1 + N2 = D1 + D2, then this sum (i.e. either N1+N2 or D1+D2) is zero. This would help solve the quadratic equation easily.
4. For a quadratic equation expressed as N1/D1 = N2/D2 and if N1 + N2 = D1 + D2, then this sum (i.e. either N1+N2 or D1+D2) is zero. This would help solve the quadratic equation easily.
Example:
(3x + 8) / (3x + 4) = (3x + 4) / (3x + 8)
In this case, the condition can be assessed as:
N1 + N2 = 3x + 8 + 3x + 4 = 6x + 12
D1 + D2 = 3x + 4 + 3x + 8 = 6x + 12
N1 + N2 = D1 + D2
Therefore,
N1 + N2 = D1 + D2 = 0
6x + 12 = 0
x = -2 (Solution to quadratic equation)
Now with the knowledge of this vedic math sutra solving quadratic equation faster is very easy.
Very descriptive and knowledgeable blog.Vedic Maths is very helpful in solving these type of complex questions.It is also helpful in solving the questions of Standard Deviation Formula.Vedic maths also increases the memory power.
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